Consumer Arithmetic
Perimeter and Area
Similar Figures and Scale Factors
Linear Equations
Straight Line Graphs
100
If Jenny works for 5 hours this week earning $20 per hour, how much will she receive at the end of the week?
$100
100
Determine the perimeter of a square with 4 cm sides.
P = 16 cm
100
Determine the scale factor k for a pair of similar shapes, given the corresponding side lengths 45 cm for the original and 280 cm for the image. Round to 2 decimal places.
k = 6.22
100
For the equation y = 2x - 1, determine the value of x where
y=0
x = -1
100
Determine the coordinates of points A to D in the diagram shown.
A = (4,1)
B = (-1,-2)
C = (3,0)
D = (0,-4)
200
Calculate the new price of a laptop which has been reduced by 15% from RRP $1436
Sale Price = $1220.60
200
Determine the area of a triangle with a base of 12 cm and a height 15 cm
A = 90 cm2
200
Calculate the image length corresponding to the original side length 45 cm, if the scale factor k between a pair of similar figures is 3.7.
166.5 cm
200
Classify each of the following as a linear equation, a non-linear equation or a linear expression.
a) 3x - 7 = 14
b) 45 + 8k
c) sqrt y + 5 = 30
a) Linear equation
b) Linear expression
c) Non-linear equation
200
Determine the gradient of the line passing through the points (2,8) and (4,22)
b=7
300
Calculate the percentage profit of a PC monitor that cost $450 and was sold for $620
Profit = $170
Percentage profit = 37.8%
300
determine the area of a trapezium:
a = 30 m
b = 40 m
h = 32 m
A = 1120 m2
300
Determine whether the pairs of shapes in the diagram are similar shapes, not similar or possibly similar. Explain your answer using mathematical reasoning.
Missing angle (first triangle) = 30o
Both triangles have angles of 30o and 85o
At least two angles are the same. Automatically the third angle is the same because the angle sum of a triangle is constant. The triangles are similar by AAA.
300
Solve this linear equation: 3a - 5 = 25
a = 10
300
Create an equation to model the scenario: The cost C ($) Of renting a jumping castle for a child’s party is $200 for the delivery and collection, plus $30/hour. The party will go for a maximum of 8 hours. Let n = the number of hours the party lasts.
C = 30n+200
400
Rob invests $2000 for 36 months at a simple interest rate of 5 % p.a. Calculate the interest earned.
The interest earned is $300
400
Calculate the area of this shape. Round to 2 decimal places.
A = 13.07 cm2
400
Calculate the scale factor k using the given lengths and hence calculate the missing original length x
k = 0.7 or 0.666...
x=13.5m
400
Solve this linear equation: -4(m+5) = -24
m = 1
400
Determine the equation for this linear graph:
y=4x-2
500
Toby earns a $1200 retainer each fortnight and a commission of 2.4% on sales, plus an extra 1% on any sales over his sakes target. If his sales target is $5000 and he sells $5500 worth of product, how much will he earn this fortnight?
1200 + 0.024 x 5000 + 0.034 x 500
= $1337
500
Determine the area of the shape, to 2 decimal places.
89.54 mm2
500
Vonda is standing 3.1 m horizontally from the volleyball net, when she jumps high into the air to spike a ball during a game. How high is the ball when Vonda strikes it, if it just skims the 2 m high net then hits the ground 5 m from the net? Assume the path of the ball is a straight line.
h = 3.24 m
500
Solve this linear equation: 5d-8=3d+14
d=11
500
Determine the equation for this linear graph: 
y=3/2+3.5